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Finding the Fourth Proportional to 149.46, 206.10 and 110.76

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Solution

The fourth proportional to 149.46, 206.10 and 110.76 is: 152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.46 : 206.10 = 110.76 : x
  2. Step 2: Convert to fraction form
    149.46/206.10 = 110.76/x
  3. Step 3: Cross multiply
    149.46x = 206.10 × 110.76
  4. Step 4: Simplify right side
    149.46x = 22,827.64
  5. Step 5: Solve for x
    x = 22,827.64/149.46
  6. Step 6: Final answer
    x = 152.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.